Finding the Fourth Proportional to 10,007.57, 13,807.95 and 5,699.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.57 : 13,807.95 = 5,699.69 : x
2. Step 2: Convert to fraction form
   10,007.57/13,807.95 = 5,699.69/x
3. Step 3: Cross multiply
   10,007.57x = 13,807.95 × 5,699.69
4. Step 4: Simplify right side
   10,007.57x = 78,700,965.50
5. Step 5: Solve for x
   x = 78,700,965.50/10,007.57
6. Step 6: Final answer
   x = 7,864.15